cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112460 Absolute value of coefficient of term [x^(n-4)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.

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%I A112460 #19 Dec 17 2017 07:58:14
%S A112460 4,39,207,795,2475,6633,15873,34749,70785,135850,247962,433602,730626,
%T A112460 1191870,1889550,2920566,4412826,6532713,9493825,13567125,19092645,
%U A112460 26492895,36288135,49113675,65739375,87091524,114277284,148611892,191648820,245213100,311438028
%N A112460 Absolute value of coefficient of term [x^(n-4)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
%F A112460 a(n) = (n-3)*(n-2)*(n-1)*n*(n+1)*(n+2)*(n+3)*(7*n+4)/8!.
%F A112460 G.f.: x^4*(4+3*x)/(1-x)^9. - _Colin Barker_, Mar 28 2012
%t A112460 Drop[Table[(7n^8+4n^7-98n^6-56n^5+343n^4+196n^3-252n^2-144n)/40320,{n,40}],3] (* _Harvey P. Dale_, Dec 15 2013 *)
%o A112460 (Octave, MATLAB) for n=4:20 a = zeros(n); for i=1:n for j=1:n a(i,j) = max(i,j); end end b = poly(a); b(5) end
%Y A112460 Cf. A000217, A000914, A001844, A112459, A112461, A112462, A112463, A112464.
%K A112460 easy,nonn
%O A112460 4,1
%A A112460 _Paul Max Payton_, Sep 23 2005